Journal of Theoretical
and Applied Mechanics

32, 4, pp. 867-886, Warsaw 1994

Sensitivity analysis for non-linear beams and frames

Dariusz Bojczuk, Zenon Mróz
A geometrically non-linear, elastic frame structure is considered and the effect of small variation of its parameters on structure deformation response is studied. Variations of cross-sectional stiffness, member length, orientation, and also variation of node positions of a discrete structure are considered. The explicit expressions for variation of a displacement functional in terms of primary and adjoint states and of design parameter variations are provided.